Question

Find the number of terms in the G.P. 1, 2, 4, 8, .... 4096.

Answer 1

a = 1

r = `2/1`

= 2

`a_n = ar^(n - 1)`

4096 = `1(2)^(n - 1)`

`2^12 = 2^(n - 1)`

n − 1 = 12

n = 12 + 1

n = 13